Discrete Local Induction Equation

Sampei Hirose, Jun ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

研究成果: Contribution to journalArticle査読

抄録

The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics of vortex filaments, and the complex curvature is governed by the non-linear Schrödinger equation. In this article, we present its discrete analogue, namely, a model of deformation of discrete space curves by the discrete non-linear Schrödinger equation. We also present explicit formulas for both smooth and discrete curves in terms of τ functions of the two-component KP hierarchy.
本文言語英語
論文番号xyz003
ジャーナルJournal of Integrable Systems
4
1
DOI
出版ステータス出版済み - 6 9 2019

フィンガープリント 「Discrete Local Induction Equation」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

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